If figure A ≅ figure B and figure B ≅ figure C, then figure A ≅ figure C. question. Use the Reasons Bank a) Transitive Property of Congruence b) Definition of supplementary angles c) If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent. The converses of the parallel line theorems can be used to prove lines parallel. It is easy to check that $$S$$ is reflexive, symmetric, and transitive. Theorem 6.6- If three parallel lines intersect two transversals, then they divide the transversals proportionally. Proofs: Ex. 2. The transitive property of parallel lines states that if line E is parallel to line F and line F is parallel to line G then line E is parallel to line G. When can you use transitive property? ... Transitive Property of Equality. 38, p. 168; Ex. Preview (18 questions) Show answers Question 1 Proving Lines Parallel The student is able to (I can): • Use angles formed by a transversal to show that lines are parallel. Geometry: Parallel Lines ~1~ NJCTL.org Parallel Lines Chapter Problems Lines: Intersecting, parallel & skew Class Work – Use image 1 ... Transitive Property of Congruence b) If 2 parallel lines are cut by a transversal, then the corresponding c) Vertical Angles are congruent. By continuing this reasoning, l 1 i l 4. navigate_next.

transitive property of congruence parallel lines 2021